SOLUTION: A diver dives into a swimming pool from the diving board. His height in feet is given by y(t) = −16t2 + 32t + 20, where t is the time in seconds. The horizontal distance in f

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Question 1030625: A diver dives into a swimming pool from the diving board. His height in feet is given by y(t) = −16t2 + 32t + 20, where t is the time in seconds. The horizontal distance in feet of the diver from the diving board is given by x(t) = 2t. What horizontal distance will the diver travel before he hits the water?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Equation for vertical height,

It looks like the diving board is ft
above the water, because when

--------------------------------
You want to know what is when
( the water level )
--------------------------------



Complete the square






-----------------
Equation for horizontal distance:


ft
The diver travels 5 ft horizontally as he hits the water
------------------
check:




( water level )
OK

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